Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Practice and Problem-Solving Exercises - Page 663: 55

$\frac{(x-2)}{(x-3)}$

$\frac{x^2+x-6}{x^2-x-6}\div\frac{x^2+5x+6}{x^2+4x+4}$ $\frac{x^2+x-6}{x^2-x-6}*\frac{x^2+4x+4}{x^2+5x+6}$ $\frac{(x+3)(x-2)}{(x-3)(x+2)}*\frac{(x+2)(x+2)}{(x+2)(x+3)}$ $\frac{(x+3)(x-2)}{(x-3)(x+2)}*\frac{(x+2)}{(x+3)}$ $\frac{(x+3)(x-2)(x+2)}{(x-3)(x+2)(x+3)}$ $\frac{(x-2)}{(x-3)}$